To travel at the speed of light, you must de-materialize and become “light”, call it teleporting, or “beam me up Scotty” technology. The quick disassociation of cells, molecules, atoms, and sub-atomic particles into well-mapped photon conversions, with position, frequency, and amplitude charted and transferred, possibly by being transported with the same proposed initial beaming of a transport subject with a laser, but with a second blast whose light is then modulated (crystals, refractive and diffraction gratings for tuning?) requires in this case an x-ray laser. A very sensitive molecule, isomer, atom, sub-atomic particle, and light (EDXA, XRF, NMR, and other spectroscopes) detection system is needed. Doppler-shift detection and radar are critical for position measurements and particle-photon-wave identification and array element separation, and a good electro-magnetic-optical collection-and-redefinition system is critical.
An x-ray laser historically requires a single atomic blast for the population inversion and relaxation of electrons in plasma-energized and two bonded Krypton atoms (biggest inert gas atoms recommended), one atom is high in energy, and the other atom is low in energy. E = h-bar x nu, where nu = light frequency, means x-rays and are very high in frequency if energy is high. This means much more energy which disassociates you faster. More information transfer per second because of amplitude and frequency modulation results in a final product when subject is transported as light. The problem is, the excitation of orbital electrons leading to their relaxation (which is deceleration of an electron back to the lowest energy state, deceleration is reverse acceleration, and a charged particle that accelerates yields light, the premises of Einstein’s photo-electric effect thesis) for light stimulation (laser, light amplification by stimulated emission of radiation) is only a billionth of a second, called the Rydberg Epoch. If a Hiroshima-like blast is employed, as was the case under the Nevada desert in the 1980’s to test SDI prototype, it is extremely inefficient.
There may be a way to lower critical mass (critical mass of U-235 = particle density x volume, the requirement for true “volatility” and anticipated external neutron-bombardment detonation, and particle density or particle#/volume on the left is isolated from volume on the right, the denominator volume versus the total volume cannot cancel out just for being on opposite sides of the cross product, as particle# alone is useless). If particle density is too high, say from compression, that means a possible premature explosion. Get the density just high enough but not too high to avoid detonation, and increase the volume of your “bomb” so the desired megatonnage is achieved according to the equation E (energy) = mass x c (speed of light)^2.
A panoramic array of neutrons from different neutron guns instead of the conventionally chosen single gun, and a better, say thicker barium wall containment chamber, with shuttered small aperture valves, graphene gaskets, for initial neutron influx and ricochet effect, would be much more efficient because of the problem of many U-235 atoms that don’t experience fission and are long term waste hazards. Because much less energy is needed for decomposition of, say, a human, with a high enough photon flux (call it epsilon [net summation] of h-bar x nu, wave-particle duality need not lead to isolated wave versus particle calculations), the low energy conversion ratio typical of lasers, especially U-235 x-ray lasers, would be less problematic. But a continuous-wave laser through a well-controlled series of Rydberg Epochs is totally unreasonable and should be out of the question for now. So “getting it right the first time” through the first x-ray laser blast for a billionth of a second means beaming is too quick to feel pain, but with a much lower tolerance for particle-wave mapping and transfer errors.
Your memory and thought-processing abilities are probably static electrons trapped in neurons, and displacements in between, I will call non-electrons. Like electrons trapped in floating gates in flash RAM chips, where conduction occurs when a more distant sink or absence of electrons holding static electron in place with “one versus zero binary memory” now flows, and this means digital processing. Tertiary states and processing when you add quantum mechanical (Heisenberg) properties must be examined. Rephrased, memory transfer elsewhere causes static memory transfer of this first example of static states, as the brain works 24/7, and electron-non-electron data transfer in parallel with two “circuits” means the six conditions for truth table logic are used for decision-making. If there is some loss of molecules after teleporting, cells which are mostly unbound, even some “floating-gate electron states” as the brain seems to have back-up, you and who you are, your consciousness and sense of identity, are preserved.